# UCSS Math II 3A.2.4 Example 3

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- Walch Education

Factor , and then verify your results.

- Determine any common factors of the given trinomial, if common factors exist.
- Multiply
, the coefficient of the second-degree term, by , the constant. - List all of the possible factors for the product of
and . - Determine which set of factors has a sum that equals
, the coefficient of the first-degree term. - Rewrite
, the first-degree term, as the sum of two terms. - Group the terms of the new polynomial according to their common factors, if common factors exist.
- Factor out common factors from each set of grouped terms, and rewrite the expression from the previous step.
- Factor the expressions further to create matching binomial factors.
- Use the Distributive Property to rewrite the expression as two factors, and then write the result along with the GCF determined in step 1.
- Distribute the factors to verify that they result in the original trinomial.

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